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Allocation Rules for Games with Optimistic Aspirations
Joint Authors
Casas-Méndez, Balbina
Carpente, Luisa
van den Nouweland, Anne
García-Jurado, Ignacio
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-09-03
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
A game with optimistic aspirations specifies two values for each coalition of players: the first value is the worth that the players in the coalition can guarantee for themselves in the event that they coordinate their actions, and the second value is the amount that the players in the coalition aspire to get under reasonable but very optimistic assumptions about the demands of the players who are not included in the coalition.
In this paper, in addition to presenting this model and justifying its relevance, we introduce allocation rules and extend the properties of efficiency, additivity, symmetry, and null player property to this setting.
We demonstrate that these four properties are insufficient to find a unique allocation rule and define three properties involving null players and nullifying players that allow the identification of unique allocation rules.
The allocation rules we identify are the Midpoint Shapley Value and the Equal Division Rule.
American Psychological Association (APA)
Carpente, Luisa& Casas-Méndez, Balbina& García-Jurado, Ignacio& van den Nouweland, Anne. 2013. Allocation Rules for Games with Optimistic Aspirations. Game Theory،Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-479898
Modern Language Association (MLA)
Carpente, Luisa…[et al.]. Allocation Rules for Games with Optimistic Aspirations. Game Theory No. 2013 (2013), pp.1-8.
https://search.emarefa.net/detail/BIM-479898
American Medical Association (AMA)
Carpente, Luisa& Casas-Méndez, Balbina& García-Jurado, Ignacio& van den Nouweland, Anne. Allocation Rules for Games with Optimistic Aspirations. Game Theory. 2013. Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-479898
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-479898